What is the Greatest Common Factor of 18529 and 18543?

Greatest common factor (GCF) of 18529 and 18543 is 7.

GCF(18529,18543) = 7

We will now calculate the prime factors of 18529 and 18543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18529 and 18543.

How to find the GCF of 18529 and 18543?

We will first find the prime factorization of 18529 and 18543. After we will calculate the factors of 18529 and 18543 and find the biggest common factor number .

Step-1: Prime Factorization of 18529

Prime factors of 18529 are 7, 2647. Prime factorization of 18529 in exponential form is:

18529 = 7¹ × 2647¹

Step-2: Prime Factorization of 18543

Prime factors of 18543 are 3, 7, 883. Prime factorization of 18543 in exponential form is:

18543 = 3¹ × 7¹ × 883¹

Step-3: Factors of 18529

List of positive integer factors of 18529 that divides 18529 without a remainder.

1, 7, 2647

Step-4: Factors of 18543

List of positive integer factors of 18543 that divides 18529 without a remainder.

1, 3, 7, 21, 883, 2649, 6181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18529 and 18543. The biggest common factor number is the GCF number.
So the greatest common factor 18529 and 18543 is 7.

Also check out the Least Common Multiple of 18529 and 18543